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Finding the Fourth Proportional to 19,665, 27,137.94 and 11,282.28

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Solution

The fourth proportional to 19,665, 27,137.94 and 11,282.28 is: 15,569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,665 : 27,137.94 = 11,282.28 : x
  2. Step 2: Convert to fraction form
    19,665/27,137.94 = 11,282.28/x
  3. Step 3: Cross multiply
    19,665x = 27,137.94 × 11,282.28
  4. Step 4: Simplify right side
    19,665x = 306,177,837.70
  5. Step 5: Solve for x
    x = 306,177,837.70/19,665
  6. Step 6: Final answer
    x = 15,569.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.